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Popular >

(dy)/(dx)=tan(x)

Solution

\frac{d y}{d x} = tan (x)

Solution

y = - ln (cos (x)) + c_{1}

Solution steps

\frac{d y}{d x} = tan (x)

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = tan (x)

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int tan (x) d x

\int tan (x) d x = - ln (cos (x)) + c_{1}

y = - ln (cos (x)) + c_{1}

Popular Examples

sum from n=0 to infinity of x^{(1+n)}

n = 0 \sum \infty x^{(1 + n)}

integral from-1 to 0 of-5x(3x^2-2)^3

\int_{- 1}^{0} - 5 x (3 x^{2} - 2)^{3} d x

(dP)/(dt)=P(10^{-1}-10^{-7}P),P(0)=7000

\frac{d P}{d t} = P (1 0^{- 1} - 1 0^{- 7} P), P (0) = 7000

integral of (sqrt(25-x^2))

\int (25 - x^{2}) d x

derivative of xsqrt(1-x)

\frac{d}{d x} (x 1 - x)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=tan(x) ?
The solution for (dy)/(dx)=tan(x) is y=-ln(cos(x))+c_{1}